Application of Integrals Question - CBSE

Question

Area of the region bounded by $y = 2x - x^2$ and $x$-axis is:
(a) $\dfrac{4}{3}$ sq. units
(b) $\dfrac{2}{3}$ sq. units
(c) $\dfrac{1}{3}$ sq. units
(d) $2$ sq. units

Accepted Answer

$\int_0^2 (2x - x^2) dx = 4 - 8/3 = 4/3$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating area $= 4/3$ sq. units: 1.0 Mark

Question:

Step-by-Step Solution

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